https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:23973 2)F(z⁴) +z⁴F(z¹⁶)=0. Specifically, we prove that the functions F(z), F(z⁴), F′(z), and F′(z⁴) are algebraically independent over ℂ(z). An application of a celebrated result of Ku. Nishioka then allows one to replace ℂ(z) by ℚ when evaluating these functions at a nonzero algebraic number α in the unit disc.]]> Wed 11 Apr 2018 15:22:41 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:42564 H that admit a continuous embedding with dense image into some G ∈ S that is, we consider the dense locally compact subgroups of groups G ∈ S. We identify a class ℛ of almost simple groups that properly contains S and is moreover stable under passing to a non-discrete dense locally compact subgroup. We show that ℛ enjoys many of the same properties previously obtained for S and establish various original results for ℛ that are also new for the subclass S, notably concerning the structure of the local Sylow subgroups and the full automorphism group.]]> Thu 25 Aug 2022 11:46:28 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:20722 Sat 24 Mar 2018 08:00:20 AEDT ]]>